Properties of the Number 8211

Eight Thousand Two Hundred Eleven

Basics

Value: 8210 → 8211 → 8212

Parity: odd

Prime: No

Previous Prime: 8209

Next Prime: 8219

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 17 × 23

Divisors: 1, 3, 7, 17, 21, 23, 51, 69, 119, 161

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000010011

Octal: 20023

Duodecimal: 4903

Hexadecimal: 2013

Square: 67420521

Square Root: 90.61456836513652

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Numbers whose sum of divisors is a cube. A20477

Number of partitions of n whose median is a part. A238478

a(n) = n*(31·n + 1)/2. A22289

Squarefree integers m > 1 such that if prime p divides m, then the sum of the base p digits of m is at least p. A324315

a(1) = 8; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A46258

T(n,k)=Number of zero-sum -k..k arrays of n elements with adjacent element differences also in -k..k. A202252

Number of polyhexes with n cells that tile the plane by 180-degree rotation (Conway criterion) but not by translation. A75210

Least k with precisely n partitions k = x + y satisfying σ(k) = σ(x) + σ(y). A211224

Squarefree numbers n for which A019565(n) < n and A048675(n) is also squarefree. A285319

Geometric mean of the digits = 2. In other words, the product of the digits is = 2^k where k is the number of digits. A61426